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TRANSITIVE PROPERTIES OF IDEALS ON GENERALIZED CANTOR SPACES
"... In this paper we compute transitive cardinal coefficients of ideals on generalized Cantor spaces. In particular, we observe that there exists a null set A ⊆ 2ω1 such that for every null set B ⊆ 2ω1 we can find x ∈ 2ω1 such that the set A ∪ (A+ x) cannot be covered by any translation of the set B. ..."
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In this paper we compute transitive cardinal coefficients of ideals on generalized Cantor spaces. In particular, we observe that there exists a null set A ⊆ 2ω1 such that for every null set B ⊆ 2ω1 we can find x ∈ 2ω1 such that the set A ∪ (A+ x) cannot be covered by any translation of the set B.
Codimension formulae for the intersection of fractal subsets of Cantor spaces
, 2015
"... We examine the dimensions of the intersection of a subset E of an mary Cantor space Cm with the image of a subset F under a random isometry with respect to a natural metric. We obtain almost sure upper bounds for the Hausdorff and upper boxcounting dimensions of the intersection, and a lower bound ..."
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We examine the dimensions of the intersection of a subset E of an mary Cantor space Cm with the image of a subset F under a random isometry with respect to a natural metric. We obtain almost sure upper bounds for the Hausdorff and upper boxcounting dimensions of the intersection, and a lower
The modal logic of continuous functions on cantor space
, 2006
"... Let L be a propositional language with standard Boolean connectives plus two modalities: an S4ish topological modality � and a temporal modality �, understood as ‘next’. We extend the topological semantic for S4 to a semantics for the language L by interpreting L in dynamic topological systems, i.e ..."
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Cited by 2 (2 self)
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, Cantor space. The current paper produces an alternate proof of the ZhangMints result.
Propositional logic of continuous transformations in Cantor Space, to appear
 in Symposium on Mathematical Logic ’03 December 1719, Kobe, special issue in Annals of Mathematical Logic
"... ..."
Propositional Logic of Continuous Transformations in Cantor Space
"... 1 Introduction A wellknown axiomatization of the basic notions of general topology in the form of propositionallogic S4 was given by McKinsey and (for mathematically more interesting spaces like real line, real plane etc.) by McKinsey and Tarski. If only open sets are considered instead of arbitrar ..."
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1 Introduction A wellknown axiomatization of the basic notions of general topology in the form of propositionallogic S4 was given by McKinsey and (for mathematically more interesting spaces like real line, real plane etc.) by McKinsey and Tarski. If only open sets are considered instead
Cantor space Preliminary Layerwise computability Schnorr layerwise computability Discussion
, 2012
"... The topic is layerwise computability. n In which field is the notion used? (mainly) Computable Analysis n Which field is needed to define the notion? ..."
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The topic is layerwise computability. n In which field is the notion used? (mainly) Computable Analysis n Which field is needed to define the notion?
Planning Algorithms
, 2004
"... This book presents a unified treatment of many different kinds of planning algorithms. The subject lies at the crossroads between robotics, control theory, artificial intelligence, algorithms, and computer graphics. The particular subjects covered include motion planning, discrete planning, planning ..."
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Cited by 1108 (51 self)
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, planning under uncertainty, sensorbased planning, visibility, decisiontheoretic planning, game theory, information spaces, reinforcement learning, nonlinear systems, trajectory planning, nonholonomic planning, and kinodynamic planning.
Singularity Detection And Processing With Wavelets
 IEEE Transactions on Information Theory
, 1992
"... Most of a signal information is often found in irregular structures and transient phenomena. We review the mathematical characterization of singularities with Lipschitz exponents. The main theorems that estimate local Lipschitz exponents of functions, from the evolution across scales of their wavele ..."
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Cited by 590 (13 self)
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Most of a signal information is often found in irregular structures and transient phenomena. We review the mathematical characterization of singularities with Lipschitz exponents. The main theorems that estimate local Lipschitz exponents of functions, from the evolution across scales of their wavelet transform are explained. We then prove that the local maxima of a wavelet transform detect the location of irregular structures and provide numerical procedures to compute their Lipschitz exponents. The wavelet transform of singularities with fast oscillations have a different behavior that we study separately. We show that the size of the oscillations can be measured from the wavelet transform local maxima. It has been shown that one and twodimensional signals can be reconstructed from the local maxima of their wavelet transform [14]. As an application, we develop an algorithm that removes white noises by discriminating the noise and the signal singularities through an analysis of their ...
Results 1  10
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23,568